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math.AP2026
Global well-posedness and large-time behavior of the compressible Navier-Stokes equations with hyperbolic heat conduction
Fucai Li, Houzhi Tang, Shuxing Zhang
The classical Fourier's law, which states that the heat flux is proportional to the temperature gradient, induces the paradox of infinite propagation speed for heat conduction. To…
math.AP2026
The combined non-equilibrium diffusion and low Mach number limits of the compressible Navier-Stokes-Fourier-P1 approximation radiation model
Fucai Li, Shuxing Zhang
In this paper, we investigate the combined non-equilibrium diffusion and low Mach number limits of the compressible Navier-Stokes-Fourier-P1 (NSF-P1) model with general initial dat…